A new summation method for power series with rational coefficients

Dassié, Silvia; Vianello, Marco; Zanovello, Renato

doi:10.1090/S0025-5718-99-01113-8

A new summation method for power series with rational coefficients
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by Silvia Dassié, Marco Vianello and Renato Zanovello PDF

Math. Comp. 69 (2000), 749-756 Request permission

Abstract:

We show that an asymptotic summation method, recently proposed by the authors, can be conveniently applied to slowly convergent power series whose coefficients are rational functions of the summation index. Several numerical examples are presented.

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